Irreducibility of Certain Subquotients of Spherical Principal Series Representations of Reductive Groups with Frobenius Maps

Abstract

For infinite reductive groups with Frobenius maps, we show that certain subquotients of abstract representations of the groups induced from 1-dimensional representations of Borel subgroups are irreducible.

47 pages

References in corpus (2)

• On the principal series representations of semisimple groups with Frobenius maps
• Irreducibility of Infinite Dimensional Steinberg Modules of Reductive Groups with Frobenius Maps

Cited by in corpus (3)

• The Decomposition of Permutation Module for Infinite Chevalley Groups
• The Principal Representations of Reductive Algebraic Groups with Frobenius Maps
• Alvis-Curtis Duality for Representations of Reductive Groups with Frobenius Maps